4. (4 marks) A seafood restaurant often receives complaints from it’s patrons that the lobster is...

4. A seafood restaurant often receives complaints from it’s patrons that the lobster is too small. The menu lists the weight of a lobster as 462g. The next time the restaurant receives a batch of 60 lobsters it weighs them and finds the average is 451g with a standard deviation of 31g. Do you think the restaurant sells lobsters that are smaller than advertised? Perform a hypothesis test at α = 0.01.

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A seafood restaurant often receives complaints from it’s patrons that the lobster is too small. The...

A seafood restaurant often receives complaints from it’s patrons that the lobster is too small. The menu lists the weight of a lobster as 462g. The next time the restaurant receives a batch of 60 lobsters it weighs them and finds the average is 451g with a standard deviation of 31g. Do you think the restaurant sells lobsters that are smaller than advertised? Perform a hypothesis test at α = 0.01

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